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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (150.5+177.5)/30*x+263/30*(x+15)+120/30(x+30) = 1017 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (150.5+177.5)/30*x+263/30*(x+15)+120/30(x+30) = 1017 .
Question type: Equation
Solution:Original question:
| ( | 301 2 | + | 355 2 | ) | ÷ | 30 | × | x | + | 263 | ÷ | 30 | × | ( | x | + | 15 | ) | + | 120 | ÷ | 30 | × | ( | x | + | 30 | ) | = | 1017 |
| Left side of the equation = | ( | 301 2 | + | 355 2 | ) | × | 1 30 | x | + | 263 30 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| ( | 301 2 | + | 355 2 | ) | × | 1 30 | x | + | 263 30 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) | = | 1017 |
| Left side of the equation = | 301 2 | × | 1 30 | x | + | 355 2 | × | 1 30 | x | + | 263 30 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 301 60 | x | + | 71 12 | x | + | 263 30 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 164 15 | x | + | 263 30 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 164 15 | x | + | 263 30 | x | + | 263 30 | × | 15 | + | 4 | ( | x | + | 30 | ) |
| = | 164 15 | x | + | 263 30 | x | + | 263 2 | + | 4 | ( | x | + | 30 | ) |
| = | 197 10 | x | + | 263 2 | + | 4 | ( | x | + | 30 | ) |
| = | 197 10 | x | + | 263 2 | + | 4 | x | + | 4 | × | 30 |
| = | 197 10 | x | + | 263 2 | + | 4 | x | + | 120 |
| = | 237 10 | x | + | 503 2 |
237 10 | x | + | 503 2 | = | 1017 |
Transposition :
237 10 | x | = | 1017 | − | 503 2 |
Combine the items on the right of the equation:
237 10 | x | = | 1531 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1531 2 | ÷ | 237 10 |
| = | 1531 2 | × | 10 237 |
| = | 1531 | × | 5 237 |
We obtained :
| x | = | 7655 237 |
Convert the result to decimal form :
| x | = | 32.299578 |